Improved structure selection for nonlinear models based on term clustering

DOI10.1080/00207179508921557zbMath0837.93009OpenAlexW1997673380MaRDI QIDQ4851683

Stephen A. Billings, Luis Antonio Aguirre

Publication date: 14 May 1996

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/79627/1/acse%20research%20report%20509.pdf

zbMATH Keywords

identificationnonlinearbifurcation diagram

Mathematics Subject Classification ID

System identification (93B30) Nonlinear systems in control theory (93C10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (19)

A modified orthogonal forward regression least-squares algorithm for system modelling from noisy regressors ⋮ Identification of models for chaotic systems from noisy data: implications for performance and nonlinear filtering ⋮ Recovering map static nonlinearities from chaotic data using dynamical models ⋮ Forward and backward least angle regression for nonlinear system identification ⋮ Optimization of global model composed of radial basis functions using the term-ranking approach ⋮ On the relation between NARX clusters and even/odd nonlinearities through frequency-domain analysis ⋮ Identification of smooth nonlinear dynamical systems with non-smooth steady-state features ⋮ An extended orthogonal forward regression algorithm for system identification using entropy ⋮ Identification of polynomial input/output recursive models with simulation error minimisation methods ⋮ On Identifying Global Nonlinear Discrete Models from Chaotic Data ⋮ An iterative algorithm for simulation error based identification of polynomial input–output models using multi-step prediction ⋮ On Overparametrization of Nonlinear Discrete Systems ⋮ An Algorithm for Estimating Fixed Points of Dynamical Systems from Time Series ⋮ Electrocardiogram classification using delay differential equations ⋮ Multiobjective parameter estimation for non-linear systems: affine information and least-squares formulation ⋮ Improved model identification for non-linear systems using a random subsampling and multifold modelling (RSMM) approach ⋮ An identification algorithm for polynomial NARX models based on simulation error minimization ⋮ Equivariance identification using delay differential equations ⋮ Modeling nonlinear dynamics and chaos: a review

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Structure identification of nonlinear dynamic systems - A survey on input/output approaches
• Model validity tests for non-linear signal processing applications
• Input-output parametric models for non-linear systems Part I: deterministic non-linear systems
• A prediction-error and stepwise-regression estimation algorithm for non-linear systems
• Identification of non-linear output-affine systems using an orthogonal least-squares algorithm
• Recursive algorithm for computing the frequency response of a class of non-linear difference equation models
• Extended model set, global data and threshold model identification of severely non-linear systems
• Nodal analysis of switched-current filters
• GLOBAL DYNAMICAL EQUATIONS AND LYAPUNOV EXPONENTS FROM NOISY CHAOTIC TIME SERIES
• DISCRETE RECONSTRUCTION OF STRANGE ATTRACTORS OF CHUA’S CIRCUIT
• HIGHER-ORDER SPECTRAL ANALYSIS TO DETECT NONLINEAR INTERACTIONS IN MEASURED TIME SERIES AND AN APPLICATION TO CHUA’S CIRCUIT
• ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY
• Mapping non-linear integro-differential equations into the frequency domain

This page was built for publication: Improved structure selection for nonlinear models based on term clustering